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Finding the Third Proportional to 54,912 and 82,608

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Solution

The third proportional to 54,912 and 82,608 is: 124,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,912 : 82,608 = 82,608 : x
  2. Step 2: Convert to fraction form
    54,912/82,608 = 82,608/x
  3. Step 3: Cross multiply
    54,912x = 82,608 × 82,608
  4. Step 4: Simplify right side
    54,912x = 6,824,081,664
  5. Step 5: Solve for x
    x = 6,824,081,664/54,912
  6. Step 6: Final answer
    x = 124,273.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.